Search: id:A000771
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%I A000771 M5201 N2263
%S A000771 1,28,462,5880,63987,627396,5715424,49329280,408741333,3281882604,
%T A000771 25708104786,197462483400,1492924634839,11143554045652,
%U A000771 82310957214948,602762379967440,4382641999117305
%N A000771 Stirling numbers of second kind.
%C A000771 G.f.: x^7/product(1-k*x,k=1..7). E.g.f.: ((exp(x)-1)^7)/7!.
%D A000771 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, 
               National Bureau of Standards Applied Math. Series 55, 1964 (and various 
               reprintings), p. 835.
%D A000771 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied 
               Tables, Cambridge, 1966, p. 223.
%D A000771 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000771 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000771 T. D. Noe, <a href="b000771.txt">Table of n, a(n) for n=7..200</a>
%H A000771 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%H A000771 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=350">
               Encyclopedia of Combinatorial Structures 350</a>
%t A000771 lst={};Do[f=StirlingS2[n, 7];AppendTo[lst, f], {n, 7, 5!}];lst [From 
               Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 27 2008]
%Y A000771 a(n)= A008277(n, 7) (Stirling2 triangle).
%Y A000771 Sequence in context: A007833 A080315 A022752 this_sequence A079518 A160060 
               A115226
%Y A000771 Adjacent sequences: A000768 A000769 A000770 this_sequence A000772 A000773 
               A000774
%K A000771 nonn,easy
%O A000771 7,2
%A A000771 N. J. A. Sloane (njas(AT)research.att.com).
%E A000771 Two more terms from Neven Juric, Oct 22 2009

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